❖◆ ❚❍❊ ❑■◆❊▼❆❚■❈❙ ❖❋ ❚❍❊ ❖❈❚❖P❯❙✬❙ ❆❘▼ ❨✳ ▲❊❱■◆❙❖◆ ❆◆❉ ❘✳ ❙❊●❊❱ ❆❜str❛❝t✳ ❚❤❡ ❦✐♥❡♠❛t✐❝s ♦❢ t❤❡ ♦❝t♦♣✉s✬s ❛r♠ ✐s st✉❞✐❡❞ ❢r♦♠ t❤❡ ♣♦✐♥t ♦❢ ✈✐❡✇ ♦❢ r♦❜♦t✐❝s✳ ❆ ❝♦♥t✐♥✉✉♠ t❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ ❦✐♥❡♠❛t✐❝ ♠♦❞❡❧ ♦❢ t❤❡ ❛r♠✱ ❜❛s❡❞ ♦♥ ❛ ♥♦♥❧✐♥❡❛r r♦❞ t❤❡♦r②✱ ✐s ♣r♦♣♦s❡❞✳ ❚❤❡ ♠♦❞❡❧ ❡♥❛❜❧❡s t❤❡ ❝❛❧❝✉❧❛t✐♦♥ ♦❢ t❤❡ str❛✐♥s ✐♥ t❤❡ ✈❛r✐♦✉s ♠✉s❝❧❡ ✜❜❡rs t❤❛t ❛r❡ r❡q✉✐r❡❞ ✐♥ ♦r❞❡r t♦ ♣r♦❞✉❝❡ ❛ ❣✐✈❡♥ ❝♦♥✜❣✉r❛t✐♦♥ ♦❢ t❤❡ ❛r♠✖❛ s♦❧✉t✐♦♥ t♦ t❤❡ ✐♥✈❡rs❡ ❦✐♥❡♠❛t✐❝s ♣r♦❜❧❡♠✳ ❚❤❡ ❛♥❛❧②s✐s ♦❢ t❤❡ ❢♦r✇❛r❞ ❦✐♥❡♠❛t✐❝s ♣r♦❜❧❡♠ s❤♦✇s t❤❛t t❤❡ str❛✐♥s ✐♥ t❤❡ ♠✉s❝❧❡ ✜❜❡rs ❛t t✇♦ ❞✐st✐♥❝t ♣♦✐♥ts ❜❡❧♦♥❣✐♥❣ t♦ ❛ ❝r♦ss s❡❝t✐♦♥ ♦❢ t❤❡ ❛r♠ ❞❡t❡r♠✐♥❡ t❤❡ ❝✉r✈❛t✉r❡ ❛♥❞ t❤❡ t✇✐st ♦❢ t❤❡ ❛r♠ ❛t t❤❛t ❝r♦ss s❡❝t✐♦♥✳ ❚❤❡ ♦❝t♦♣✉s✬s ❛r♠ ❧❛❝❦s ❛ r✐❣✐❞ s❦❡❧❡t♦♥ ❛♥❞ t❤❡ r♦❧❡ ♦❢ ♠❛t❡r✐❛❧ ✐♥❝♦♠♣r❡ss✐❜✐❧✐t② ✐♥ ❡♥❛❜❧✐♥❣ t❤❡ ❝♦♥✜❣✉r❛t✐♦♥ ❝♦♥tr♦❧ ✐s st✉❞✐❡❞✳ ✶✳ ■♥tr♦❞✉❝t✐♦♥ ❚❤✐s ♣❛♣❡r ♣r❡s❡♥ts ❛ ❦✐♥❡♠❛t✐❝❛❧ ♠♦❞❡❧ ❢♦r t❤❡ ♦❝t♦♣✉s✬s ❛r♠✳ ❚❤❡ ❛r♠ ♦❢ ❛♥ ♦❝t♦♣✉s ✐s ❛♥ ❡✣❝✐❡♥t ❤②♣❡r✲r❡❞✉♥❞❛♥t ♠❛♥✐♣✉❧❛t♦r ❛♥❞ ❤❡♥❝❡ t❤❡ ♠♦t✐✈❛t✐♦♥ ❢♦r st✉❞②✐♥❣ ✐t✳ ❲❡ ❢♦❝✉s ♦♥ t❤❡ ❦✐♥❡♠❛t✐❝ ❛♥❛❧②s✐s ♦❢ ❛ t❤r❡❡ ❞✐♠❡♥s✐♦♥❛❧ ❝♦♥t✐♥✉✉♠ ♠♦❞❡❧✳ ❖❢ ♣❛rt✐❝✉❧❛r ✐♥t❡r❡st ✐s t❤❡ ✇❛② t❤❡ ♦❝t♦♣✉s ✉s❡s t❤❡ ✐♥❝♦♠♣r❡ss✐❜✐❧✐t② ♦❢ t❤❡ ❛r♠ t♦ ♦✈❡r❝♦♠❡ t❤❡ ❛❜s❡♥❝❡ ♦❢ ❛ r✐❣✐❞ s❦❡❧❡t♦♥✳ ■♥ ♠❛♥② ❝❛s❡s✱ ❤②♣❡r✲r❡❞✉♥❞❛♥t r♦❜♦ts ❛r❡ ♠♦❞❡❧❡❞ ❛s ❞✐s❝r❡t❡ ♠❡❝❤❛♥✐❝❛❧ s②st❡♠s✱ ❡✳❣✳✱ ❬✶✱ ✷✱ ✸✱ ✹❪✳ ❚✇♦✲❞✐♠❡♥s✐♦♥❛❧ ❞✐s❝r❡t❡ ❦✐♥❡♠❛t✐❝❛❧ ❛♥❞ ❞②♥❛♠✲ ✐❝❛❧ ♠♦❞❡❧s ❢♦r t❤❡ ♦❝t♦♣✉s✬s ❛r♠ ❛r❡ ♣r❡s❡♥t❡❞ ✐♥ ❬✺❪ ❛♥❞ ❬✻❪✳ ■♥ t❤❡✐r st✉❞②✱ t❤❡ ❛✉t❤♦rs ♠♦❞❡❧ t❤❡ ❛r♠ ❛s ❛♥ ❛rr❛② ♦❢ ♣♦✐♥t ♠❛ss❡s ✐♥t❡r❝♦♥♥❡❝t❡❞ ❜② ❧✐♥❡❛r ♦r ♥♦♥✲❧✐♥❡❛r s♣r✐♥❣s t❤❛t r❡♣r❡s❡♥t t❤❡ ♠✉s❝❧❡s✳ ❚❤❡ ✐♥❝♦♠♣r❡ss✐❜✐❧✐t② ❝♦♥str❛✐♥t ✐s ❛♣♣❧✐❡❞ ❜② ♣r❡s❡r✈✐♥❣ t❤❡ ❛r❡❛ ♦❢ ❡❛❝❤ ❝♦♠♣❛rt♠❡♥t ❝r❡❛t❡❞ ❜② ❢♦✉r ❛❞❥❛❝❡♥t ♠❛ss❡s✳ ❚❤❡ ♠♦❞❡❧ ❝♦♥s✐❞❡rs ❡①t❡r♥❛❧ ❢♦r❝❡s✱ s✉❝❤ ❛s ❣r❛✈✐t②✱ ❞r❛❣✱ ❜✉♦②❛♥❝②✱ ❛♥❞ ✐♥t❡r♥❛❧ ❢♦r❝❡s✱ s✉❝❤ ❛s t❤❡ ♠✉s❝❧❡s✬ ❛❝t✐✈❡ ❢♦r❝❡s ❛♥❞ t❤❡ ❢♦r❝❡s ♥❡❡❞❡❞ t♦ ♣r❡s❡r✈❡ t❤❡ ❛r❡❛ ♦❢ t❤❡ ❝♦♠♣❛rt♠❡♥ts✳ ❋♦❧❧♦✇✐♥❣ st✉❞✐❡s s✉❝❤ ❛s ❬✼✱ ✽❪ ♦♥ ❝♦♥t✐♥✉♦✉s ♠♦❞❡❧s ❢♦r ❤②♣❡r✲r❡❞✉♥❞❛♥t r♦❜♦ts✱ ❇♦②❡r ❡t ❛❧✳✱ ❬✾❪✱ ✉s❡❞ ❛ ❣❡♦♠❡tr✐❝❛❧❧② ❡①❛❝t t❤❡♦r② ♦❢ ♥♦♥✲❧✐♥❡❛r ❜❡❛♠s t♦ s✐♠✉❧❛t❡ t❤❡ ❞②♥❛♠✐❝s ♦❢ s✇✐♠♠✐♥❣ ♦❢ ❛♥ ❡❡❧✲❧✐❦❡ r♦❜♦t✳ ■♥ t❤❡✐r ❛♥❛❧②s✐s t❤❡ r♦❜♦t ✐s tr❡❛t❡❞ ❛s ❛ ❝♦♥t✐♥✉♦✉s s❡r✐❡s ♦❢ ✐♥✜♥✐t❡s✐♠❛❧ s❡❝t✐♦♥s✳ ❚❤❡ ❞❡❢♦r♠❛t✐♦♥ ✐s ❞❡✜♥❡❞ ❜② ❛ ❤♦♠♦❣❡♥❡♦✉s ♠❛tr✐① g t❤❛t ❞❡s❝r✐❜❡s t❤❡ ♦r✐❡♥t❛t✐♦♥ ❛♥❞ tr❛♥s❧❛t✐♦♥ ♦❢ ❡❛❝❤ s❡❝t✐♦♥✳ ❚❤❡ ❛✉t❤♦rs ✇r✐t❡ t❤❡ ❞✐✛❡r❡♥t✐❛❧ ❡q✉❛t✐♦♥ ❢♦r t❤❡ ❤♦♠♦❣❡♥❡♦✉s tr❛♥s❢♦r♠❛t✐♦♥s ♦❢ t❤❡ ❝r♦ss s❡❝t✐♦♥ ❛❧♦♥❣ t❤❡ ❉❛t❡ ✿ ▼❛r❝❤ ✸✱ ✷✵✵✾✳ ✶
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